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250081 VO Lie groups (2011W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Tuesday 04.10. 12:15 - 13:45 Seminarraum
Thursday 06.10. 13:10 - 13:55 Seminarraum
Tuesday 11.10. 12:15 - 13:45 Seminarraum
Thursday 13.10. 13:10 - 13:55 Seminarraum
Tuesday 18.10. 12:15 - 13:45 Seminarraum
Thursday 20.10. 13:10 - 13:55 Seminarraum
Tuesday 25.10. 12:15 - 13:45 Seminarraum
Thursday 27.10. 13:10 - 13:55 Seminarraum
Thursday 03.11. 13:10 - 13:55 Seminarraum
Tuesday 08.11. 12:15 - 13:45 Seminarraum
Thursday 10.11. 13:10 - 13:55 Seminarraum
Tuesday 15.11. 12:15 - 13:45 Seminarraum
Thursday 17.11. 13:10 - 13:55 Seminarraum
Tuesday 22.11. 12:15 - 13:45 Seminarraum
Thursday 24.11. 13:10 - 13:55 Seminarraum
Tuesday 29.11. 12:15 - 13:45 Seminarraum
Thursday 01.12. 13:10 - 13:55 Seminarraum
Tuesday 06.12. 12:15 - 13:45 Seminarraum
Tuesday 13.12. 12:15 - 13:45 Seminarraum
Thursday 15.12. 13:10 - 13:55 Seminarraum
Tuesday 10.01. 12:15 - 13:45 Seminarraum
Thursday 12.01. 13:10 - 13:55 Seminarraum
Tuesday 17.01. 12:15 - 13:45 Seminarraum
Thursday 19.01. 13:10 - 13:55 Seminarraum
Tuesday 24.01. 12:15 - 13:45 Seminarraum
Thursday 26.01. 13:10 - 13:55 Seminarraum
Tuesday 31.01. 12:15 - 13:45 Seminarraum

Information

Aims, contents and method of the course

This lecture course serves as a first introduction to the theory of Lie groups. The focus will be on the interrelation between Lie groups and their Lie algebras. Among others, the following topics will be treated: topological properties, matrix groups, exponential map, Lie subgroups, homomorphisms, the Frobenius theorem, group actions, Lie transformation groups, fundamentals of representation theory.

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Examination topics

Reading list


Brickell, Clark, Differentiable manifolds.
Cap, Lie Groups.
Chevalley, Theory of Lie groups.
Duistermaat, Kolk, Lie groups.
Hilgert, Neeb, Lie Gruppen und Lie Algebren.
Lee, Manifolds and differential geometry.
Michor, Topics in differential geometry.


Association in the course directory

MGEL

Last modified: Mo 07.09.2020 15:40